Hausdorff dimensions of Beatty multiple shifts
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909689889947648 |
|---|---|
| author | Ban, Jung-Chao Hu, Wen-Guei Lai, Guan-Yu |
| author_facet | Ban, Jung-Chao Hu, Wen-Guei Lai, Guan-Yu |
| contents | In this paper, the Beatty multiple shift is introduced, which is a generalization of the multiplicative shift of finite type (multiple SFT) [Kenyon, Peres and Solomyak, Ergodic Theory and Dynamical Systems, 2012] and the affine multiple shift [Ban, Hu, Lai and Liao, Advances in Mathematics, 2025]. The Hausdorff and Minkowski dimension formulas are obtained, and the coefficients of the formula is closely related to the classical disjoint covering of the positive integers in number theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10982 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hausdorff dimensions of Beatty multiple shifts Ban, Jung-Chao Hu, Wen-Guei Lai, Guan-Yu Dynamical Systems Number Theory In this paper, the Beatty multiple shift is introduced, which is a generalization of the multiplicative shift of finite type (multiple SFT) [Kenyon, Peres and Solomyak, Ergodic Theory and Dynamical Systems, 2012] and the affine multiple shift [Ban, Hu, Lai and Liao, Advances in Mathematics, 2025]. The Hausdorff and Minkowski dimension formulas are obtained, and the coefficients of the formula is closely related to the classical disjoint covering of the positive integers in number theory. |
| title | Hausdorff dimensions of Beatty multiple shifts |
| topic | Dynamical Systems Number Theory |
| url | https://arxiv.org/abs/2507.10982 |